A finite-size correction model for two-fluid large-eddy simulation of particle-laden boundary layer flow

Mathieu, Antoine; Chauchat, Julien; Bonamy, Cyrille; Balarac, Guillaume; Hsu, Tian‐Jian

doi:10.1017/jfm.2021.4

Cited by 7 publications

(13 citation statements)

References 51 publications

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“…The turbulence-resolved two-phase flow model is the same as that used in Mathieu et al. (2021) but extended to tackle dense granular flows. It is adapted from the turbulence-averaged model sedFoam () (Chauchat et al.…”

Section: Model Formulationmentioning

confidence: 99%

“…Finally, is the fluid–particle interaction term representing the balance between dissipation of granular temperature due to drag and production due to the fluid pseudo-thermal kinetic energy and is given by with the response time of the particle defined in § 2.3 and with the fluid-phase subgrid turbulent kinetic energy (TKE) modelled using the relation proposed by Yoshizawa & Horiuti (1985) (more details are available in the model description of Mathieu et al. (2021)).…”

Section: Model Formulationmentioning

confidence: 99%

“…The subgrid stress tensors are written as and with the filter size imposed by the mesh, and the fluid and solid resolved strain rate tensors, respectively, and , , , the dynamically computed model coefficients averaged over streamlines (more details of the dynamic Lagrangian model are provided in appendix A of Mathieu et al. (2021)).…”

Section: Model Formulationmentioning

confidence: 99%

“…Recently, two-fluid modelling methodology for LES was successfully applied to sediment transport configurations (Cheng, Hsu & Chauchat 2018; Mathieu et al. 2021). In the Eulerian two-fluid methodology, the dispersed phase composed of the particles and the carrier fluid phase are seen as two interpenetrating continua.…”

Section: Introductionmentioning

confidence: 99%

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Numerical investigation of unsteady effects in oscillatory sheet flows

et al. 2022

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In this paper, two-phase flow simulations of oscillatory sheet flow experimental configurations involving medium and fine sand using a turbulence-resolving two-fluid model are presented. The turbulence-resolving two-phase flow model reproduces the differences of behaviour observed between medium and fine sand whereas turbulence-averaged models require an almost systematic tuning of empirical model coefficients for turbulence–particle interactions. The two-fluid model explicitly resolves these interactions and can be used to study in detail the differences observed experimentally. Detailed analysis of concentration profiles, flow hydrodynamics, turbulent statistics and vertical mass balance allowed the confirmation that unsteady effects, namely phase-lag effect and enhanced boundary layer thickness, for fine sand are not only due to the small settling velocity of the particles relative to the wave period. The occurrence and intensity of unsteady effects are also affected by a complex interplay between flow instabilities, strong solid-phase Reynolds stress and turbulence attenuation caused by the presence of the particles.

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Section: Model Formulationmentioning

confidence: 99%

Section: Model Formulationmentioning

confidence: 99%

Section: Model Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical investigation of unsteady effects in oscillatory sheet flows

et al. 2022

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“…More recently, Large Eddy Simulation has been used to model turbulence in these two-phase flows (e.g. [14,46]). Concerning the granular stress modelling, two approaches have been used, µ(I) rheology (e.g.…”

Section: Introductionmentioning

confidence: 99%

A modified kinetic theory for frictional-collisional bedload transport valid from dense to dilute regime

Chassagne¹,

Chauchat²,

Bonamy³

2021

Preprint

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Modelling sediment transport is still a challenging problem and is of major importance for the study of particulate geophysical flows. In this work, the modelling of sediment transport in the collisional regime is investigated with a focus on the continuum modelling of the granular flow. For this purpose, a frictional-collisional approach, combining a Coulomb model with the kinetic theory of granular gases, is developed. The methodology is based on a comparison with coupled fluid-discrete simulations, that classical kinetic theory model fails to reproduce. In order to improve the continuum model, the fluctuating energy balance is computed in the discrete simulations and systematically compared with the kinetic theory closure laws. Inter-particle friction is shown to affect the radial distribution function and to increase the energy dissipation, in agreement with previous observations in the literature. Due to saltating particles, whose motion can not be captured by the kinetic theory, departure from the viscosity and diffusivity laws are observed in the dilute part of the granular flow. Finally, the quadratic nature of the drag force is shown to increase the granular fluctuating energy dissipation. Based on these observations, modifications of the kinetic theory closure laws are proposed. The modified model reproduces perfectly the discrete simulations in the entire depth structure of the granular flow. These modifications are shown to impact the rheological properties of the flow and they make it possible to recover the µ(I) rheology in the dense regime.

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